Geometry Transformations Test

Front

What is a translation in geometry?

Back

A translation is a type of transformation that moves every point of a shape a certain distance in a specified direction.

Front

How do you perform a translation on a point (x, y)?

Back

To translate a point (x, y) by (a, b), you add a to the x-coordinate and b to the y-coordinate, resulting in (x + a, y + b).

Front

What is the result of translating the point (5, 2) by (2, -7)?

Back

The new point is (5 + 2, 2 - 7) = (7, -5).

Front

What does the notation T(a, b) represent?

Back

T(a, b) represents a translation transformation that moves points by a units in the x-direction and b units in the y-direction.

Front

What is a reflection in geometry?

Back

A reflection is a transformation that flips a shape over a line, creating a mirror image.

Front

How do you reflect a point (x, y) across the y-axis?

Back

To reflect a point (x, y) across the y-axis, the new point becomes (-x, y).

Front

What is the result of reflecting the point S(3, 7) across the y-axis?

Back

The reflected point S' is (-3, 7).

Front

What is the composition of transformations?

Back

The composition of transformations is the application of one transformation followed by another, resulting in a single transformation.

Front

How do you denote the composition of transformations?

Back

The composition of transformations is denoted by writing the transformations in the order they are applied, for example, R_y axis then T(a, b).

Front

What is the effect of the transformation (x - 2, y + 9) on a point?

Back

This transformation moves a point 2 units left and 9 units up.